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Finding the Fourth Proportional to 233,510.94, 350,318.81 and 71,419.16

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Solution

The fourth proportional to 233,510.94, 350,318.81 and 71,419.16 is: 107,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,510.94 : 350,318.81 = 71,419.16 : x
  2. Step 2: Convert to fraction form
    233,510.94/350,318.81 = 71,419.16/x
  3. Step 3: Cross multiply
    233,510.94x = 350,318.81 × 71,419.16
  4. Step 4: Simplify right side
    233,510.94x = 25,019,475,142.40
  5. Step 5: Solve for x
    x = 25,019,475,142.40/233,510.94
  6. Step 6: Final answer
    x = 107,144.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.